{
  "id": "0909.3503",
  "version": "v1",
  "published": "2009-09-18T18:50:32.000Z",
  "updated": "2009-09-18T18:50:32.000Z",
  "title": "Generation of interface for an Allen-Cahn equation with nonlinear diffusion",
  "authors": [
    "Matthieu Alfaro",
    "Danielle Hilhorst"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this note, we consider a nonlinear diffusion equation with a bistable reaction term arising in population dynamics. Given a rather general initial data, we investigate its behavior for small times as the reaction coefficient tends to infinity: we prove a generation of interface property.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-09-18T18:50:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "allen-cahn equation",
      "generation",
      "nonlinear diffusion equation",
      "reaction coefficient tends",
      "general initial data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0909.3503A"
    }
  }
}